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Finding the Third Proportional to 663,810 and 1,005,745.50

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Solution

The third proportional to 663,810 and 1,005,745.50 is: 1,523,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,810 : 1,005,745.50 = 1,005,745.50 : x
  2. Step 2: Convert to fraction form
    663,810/1,005,745.50 = 1,005,745.50/x
  3. Step 3: Cross multiply
    663,810x = 1,005,745.50 × 1,005,745.50
  4. Step 4: Simplify right side
    663,810x = 1,011,524,010,770.25
  5. Step 5: Solve for x
    x = 1,011,524,010,770.25/663,810
  6. Step 6: Final answer
    x = 1,523,815.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.